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Ex 3.2, 8 - Chapter 3 Class 12 Matrices
Last updated at April 16, 2024 by Teachoo
Chapter 3 Class 12 Matrices
Concept wise
- Formation and order of matrix
- Types of matrices
- Equal matrices
-
Addition/ subtraction of matrices
- Statement questions - Addition/Subtraction of matrices
- Multiplication of matrices
- Statement questions - Multiplication of matrices
- Solving Equation
- Finding unknown - Element
- Finding unknown - Matrice
- Transpose of a matrix
- Symmetric and skew symmetric matrices
- Proof using property of transpose
- Inverse of matrix using elementary transformation
- Proof using mathematical induction
Transcript
Ex 3.2, 8 Find X, if Y = [■8(3&2@1&4)] and 2X + Y = [■8(1&0@−3&2)] Given 2X + Y = [■8(1&0@−3&2)] Putting value of Y 2X + [■8(3&2@1&4)] = [■8(1&0@−3&2)] 2X = [■8(1&0@−3&2)] – [■8(3&2@1&4)] 2X = [■8(1−3&0−2@−3−1&2−4)] 2X = [■8(−2&−2@−4&−2)] X = 𝟏/𝟐 [■8(−𝟐&−𝟐@−𝟒&−𝟐)] X = [■8((−2)/2&(−2)/2@(−4)/2&(−2)/2)] X = [■8(−𝟏&−𝟏@−𝟐&−𝟏)] Hence, X = [■8(−1&−1@−2&−1)]
